And I'm telling ya, it doesn't work that way. It sounds like you're not really in station mode at both ends, and are just contending with the Seestar's very weak wifi signal when its the host. It has nothing to do with bluetooth. Make sure you mobile device is actually connected to your home wifi, not to the Seestar's wifi.
I just tested again. My Seestar is right now is 10 ft outside my front door, about 30ft from my router. I can go to the far corner of my house which is another 40ft from the router, and 70ft total from the Seestar, through several walls (including one brick one), and Live view updates normally, and when I load the on-device Seestar album, I can cycle images at full res very quickly. It is behaving entirely normally, and I have no bluetooth connection to Seestar at all at any point.
To be clear, in station mode.. Seestar is connected to your home wifi.. (or a portable wifi router) and your mobile device is also connected to the same wifi network. They'll each have a local IP on that network and use Network Discovery to find each other (same thing that makes \seestar address work from your home PC when in station mode). There's no direct connection between them at that point.